For all the years from 2015 to 2018, the average production of B-type cars is how much less (in thousands) than that of the combined average production of A-type and C-type cars?

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Question

For all the years from 2015 to 2018, the average production of B-type cars is how much less (in thousands) than that of the combined average production of A-type and C-type cars?

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1746551550/aptidude_questions/l4eg16dytisna8oexumi.png)

Accepted Answer

Let's calculate the required averages step by step:

Step 1: Find the average production of B-type cars from 2015 to 2018.

B-type production:
2015: 680
2016: 750
2017: 620
2018: 540

Sum = 680 + 750 + 620 + 540 = 2590
Average = 2590 / 4 = 647.5 (in thousands)

Step 2: Find the combined average production of A-type and C-type cars.

A-type production:
2015: 840
2016: 900
2017: 760
2018: 800
Sum = 840 + 900 + 760 + 800 = 3300

C-type production:
2015: 890
2016: 960
2017: 1000
2018: 1200
Sum = 890 + 960 + 1000 + 1200 = 4050

Combined sum = 3300 + 4050 = 7350
Number of data points = 4 years × 2 types = 8
Combined average = 7350 / 8 = 918.75 (in thousands)

Step 3: Find the difference between the combined average (A and C) and the average of B.

Difference = 918.75 - 647.5 = 271.25 (in thousands)

So, the average production of B-type cars is 271.25 thousand less than that of the combined average production of A-type and C-type cars.

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